Access Point #: MAFS.7.EE.2.AP.4a (Archived Access Point)


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Set up equations with one variable based on real-world problems.

Clarifications:

Essential Understandings

Concrete:

  • Use manipulatives to represent quantities in an equation in the form px + q = r from a word problem using a graphic organizer.
Representation:
  • Create a pictorial array of a simple equation to translate wording.
  • Enter information into an equation in the form px + q = r from a word problem to determine the unknown.
  • When given a scenario, understand which quantity is unknown and would be represented by a variable.
  • Understand the following concepts, vocabulary, and symbols: +, -, ×, ÷, =, ≠, <, >, equation, equal, inequality.

Number: MAFS.7.EE.2.AP.4a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Solve real-life and mathematical problems using numerical and algebraic expressions and equations. (Major Cluster) : 

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.7.EE.2.4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
  1. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
  2. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.




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